What is the frequency of electromagnetic radiation with a wavelength of 745 nm appears as red light to the human eye?
m * 1/s = m/s
λf = c
so plug in your numbers and solve for f.
To determine the frequency of electromagnetic radiation with a wavelength of 745 nm (nanometers), you can use the equation:
c = λν
where c is the speed of light (approximately 3.00 × 10^8 meters per second), λ (lambda) represents the wavelength, and ν (nu) represents the frequency.
First, you need to convert the wavelength from nanometers to meters:
745 nm = 745 × 10^-9 meters
Now, you can substitute the values into the equation:
3.00 × 10^8 m/s = (745 × 10^-9 meters) × ν
To solve for ν, divide both sides of the equation by 745 × 10^-9 meters:
ν = (3.00 × 10^8 m/s) / (745 × 10^-9 meters)
Simplifying further, we get:
ν ≈ 4.03 × 10^14 Hz
Therefore, the frequency of electromagnetic radiation with a wavelength of 745 nm is approximately 4.03 × 10^14 Hz. This falls within the visible light spectrum and appears as red light to the human eye.
To determine the frequency of electromagnetic radiation with a given wavelength, we can use the formula:
c = λ * f
where c is the speed of light, λ is the wavelength, and f is the frequency.
The speed of light, c, is approximately 3.0 x 10^8 meters per second.
First, we need to convert the given wavelength of 745 nm (nanometers) to meters. Since 1 meter is equal to 1 billion nanometers, we can divide the given wavelength by 10^9 to convert it to meters:
λ = 745 nm / 10^9 = 7.45 x 10^-7 meters
Now, we can rearrange the formula to solve for the frequency:
f = c / λ
f = (3.0 x 10^8 m/s) / (7.45 x 10^-7 m) = 4.03 x 10^14 Hz
Therefore, the frequency of electromagnetic radiation with a wavelength of 745 nm (which appears as red light to the human eye) is approximately 4.03 x 10^14 Hz.